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jok3333 [9.3K]
3 years ago
7

Rhett is solving the quadratic equation 0= x2 – 2x – 3 using the quadratic formula. Which shows the correct substitution of the

values a, b, and c into the quadratic formula?

Mathematics
1 answer:
lesya692 [45]3 years ago
4 0

Answer:

The correct option is 1.

Step-by-step explanation:

If a quadratic equation is defined as

ax^2+bx+c=0

then the quadratic formula is

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

The given equation is

0=x^2-2x-3

Here, a=1, b=-2 and c=-3.

Substitute these values in the above formula.

x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(-3)}}{2(1)}

x=\frac{2\pm \sqrt{(-2)^2-4(1)(-3)}}{2(1)}

Therefore, the correct option is 1.

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The length of a rectangle is 18 centimeters less than five times its width. its area is 35 square centimeters. find the dimensio
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35 = 5*7
7 = 5*5 -18

The dimensions of the rectangle are: length = 7 cm, width = 5 cm.

_____
It is handy to know your times tables.

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If you want, you can write a couple of equations and solve them.
.. L = 5W -18
.. LW = 35
Substituting for L, we have
.. (5W -18)W = 35
.. 5W^2 -18W -35 = 0 . . . . put in standard form
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.. W = 5 or -7/5 . . . . . . . . . we are only interested in the positive solution

The width of the rectangle is 5 cm; its length is 7 cm.
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To find the value of X, simply know that for this parallelogram, the angles on each end that are diagonal with respect to each other are the same. And knowing that the angles in a parallelogram add up to equal 360 degrees. Simply make an algebraic expression equal to the value of 360 and then solve for x.

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